REDUCED AND EXTENDED WEAK COUPLING LIMIT
... discussed in the literature, is relevant for the construction of quantum Langevin dynamics and the weak coupling limit. C.p. semigroups that arise in the weak coupling limit have an additional property— they commute with the unitary dynamics generated by the Hamiltonian K of the small system—for bre ...
... discussed in the literature, is relevant for the construction of quantum Langevin dynamics and the weak coupling limit. C.p. semigroups that arise in the weak coupling limit have an additional property— they commute with the unitary dynamics generated by the Hamiltonian K of the small system—for bre ...
Computing prime factors with a Josephson phase qubit quantum
... Here we show coherent interactions for up to four qubits with a resonator and verify genuine bi- and tripartite entanglement including Bell [9] and |Wi-states [10] with quantum state tomography (QST). This QuP has the further advantage of creating entanglement at a rate more than twice that of previ ...
... Here we show coherent interactions for up to four qubits with a resonator and verify genuine bi- and tripartite entanglement including Bell [9] and |Wi-states [10] with quantum state tomography (QST). This QuP has the further advantage of creating entanglement at a rate more than twice that of previ ...
RECOMMENDATION ITU-R P.684-2 - Prediction of field strength at
... signals. It may be noted that the information in this Recommendation includes values of f cos i exceeding 150 kHz. The use of this information for frequencies exceeding 150 kHz is not recommended. Recommendation ITU-R P.1147 gives information for frequencies above 150 kHz. ...
... signals. It may be noted that the information in this Recommendation includes values of f cos i exceeding 150 kHz. The use of this information for frequencies exceeding 150 kHz is not recommended. Recommendation ITU-R P.1147 gives information for frequencies above 150 kHz. ...
Observations on Hyperplane: II. Dynamical Variables and
... time, t = 0? This question also has the answer, yes, and my questioner agreed to the analogy. But that (replacing observables at definite times by observables at time, t = 0) would be a crazy way to do physics, said I! No it wouldn't, said he. Circumstances then intervened and the discussion ended, ...
... time, t = 0? This question also has the answer, yes, and my questioner agreed to the analogy. But that (replacing observables at definite times by observables at time, t = 0) would be a crazy way to do physics, said I! No it wouldn't, said he. Circumstances then intervened and the discussion ended, ...
Time-dependent molecular properties in the optical and x-ray regions Ulf Ekstr¨om
... has been known at least since the experiments of Tesla in 1887, but it was not until the work of Röntgen (1895) that the phenomena was given the name x-rays. Although Röntgen believed that he had found “a new kind of radiation”, 1 it was later understood that x-rays are the same kind of electromag ...
... has been known at least since the experiments of Tesla in 1887, but it was not until the work of Röntgen (1895) that the phenomena was given the name x-rays. Although Röntgen believed that he had found “a new kind of radiation”, 1 it was later understood that x-rays are the same kind of electromag ...
The Effect of Communication Costs in Solid
... modulus squared sums to one, ∑x cx 2 1. A single quantum bit is commonly referred to as a qubit and is described by the equation ψ c0 0 c1 1, where the ci are complex valued. Legal qubit states include pure states, such as 0 and 1, and states in superposition, such as 1 0 1 1, ...
... modulus squared sums to one, ∑x cx 2 1. A single quantum bit is commonly referred to as a qubit and is described by the equation ψ c0 0 c1 1, where the ci are complex valued. Legal qubit states include pure states, such as 0 and 1, and states in superposition, such as 1 0 1 1, ...
Optimum phase-shift estimation and the quantum description of the
... the phase difference. This commutation relation is the quantum translation of the corresponding classical Poisson bracket. The total photon number is the infinitesimal generator of translations of the phase sum and this commutation ensures that the phase difference is not modified by an equal shift ...
... the phase difference. This commutation relation is the quantum translation of the corresponding classical Poisson bracket. The total photon number is the infinitesimal generator of translations of the phase sum and this commutation ensures that the phase difference is not modified by an equal shift ...
Quantum Copy-Protection and Quantum Money
... counterfeit, something that cannot be done in the classical world. However, Wiesner’s scheme required a central bank to verify the money, and the question of whether there can be unclonable quantum money that ...
... counterfeit, something that cannot be done in the classical world. However, Wiesner’s scheme required a central bank to verify the money, and the question of whether there can be unclonable quantum money that ...
Realization of quantum error correction
... in an initial state, which is then encoded into an entangled state of three physical qubits (the primary and two ancilla qubits). Errors are induced simultaneously in all qubits at various rates. The encoded state is decoded back to the primary ion one-qubit state, making error information available ...
... in an initial state, which is then encoded into an entangled state of three physical qubits (the primary and two ancilla qubits). Errors are induced simultaneously in all qubits at various rates. The encoded state is decoded back to the primary ion one-qubit state, making error information available ...
Inconsistencies of the Adiabatic Theorem and the Berry Phase
... in the exact expressions, so that Ẽ1 ≈ [gµ0 H + (ω/2) cos θ]. We thus see that the “smallness” parameter in the “adiabatic” treatment is hn1 (t)|ṅ2 (t)i. Note that the unitarity of this U (t) is verified to be obeyed consistent with the adiabatic approximation stated above. Also, a way to see the ...
... in the exact expressions, so that Ẽ1 ≈ [gµ0 H + (ω/2) cos θ]. We thus see that the “smallness” parameter in the “adiabatic” treatment is hn1 (t)|ṅ2 (t)i. Note that the unitarity of this U (t) is verified to be obeyed consistent with the adiabatic approximation stated above. Also, a way to see the ...
Quantum Sleeping Beauty
... note that they all remain controversial, and that if any such strategy works, it ought to work just as well in the structurally similar Sleeping Beauty case. That is, given the parallels between the two cases, then all other things being equal, we should expect the two cases to be covered by a unifo ...
... note that they all remain controversial, and that if any such strategy works, it ought to work just as well in the structurally similar Sleeping Beauty case. That is, given the parallels between the two cases, then all other things being equal, we should expect the two cases to be covered by a unifo ...
Quantum Symmetric States - UCLA Department of Mathematics
... The tail σ-algebra is the intersection of the σ-algebras generated by {xN , xN +1 , . . .} as N goes to ∞. Thus, the expectation E can be seen as an integral (w.r.t. a probability measure on the tail algebra) — that is, as a sort of convex combination — of expectations with respect to which the rand ...
... The tail σ-algebra is the intersection of the σ-algebras generated by {xN , xN +1 , . . .} as N goes to ∞. Thus, the expectation E can be seen as an integral (w.r.t. a probability measure on the tail algebra) — that is, as a sort of convex combination — of expectations with respect to which the rand ...
Quantum spin systems from the perspective of quantum
... (CPM) instead of projectors to the virtual particles ...
... (CPM) instead of projectors to the virtual particles ...
Complete Lecture Notes
... By the turn of the 19th century, classical physics had reached its summit. The nature and motion of particles and matter was properly accounted for. Newtonian mechanics was put in a solid mathematical framework (Lagrange, Hamilton) and the properties of radiation was covered by Maxwell’s equations. ...
... By the turn of the 19th century, classical physics had reached its summit. The nature and motion of particles and matter was properly accounted for. Newtonian mechanics was put in a solid mathematical framework (Lagrange, Hamilton) and the properties of radiation was covered by Maxwell’s equations. ...
The Need for Structure in Quantum Speedups
... Conjecture 3 (Watrous 2002) R(f ) ≤ Q(f )O(1) for every partial function f : [M ]N → {0, 1, ∗} that is permutation-invariant. Let us make two remarks about Conjecture 3. First, the conjecture talks about randomized versus quantum query complexity, since in this setting, it is easy to find functions ...
... Conjecture 3 (Watrous 2002) R(f ) ≤ Q(f )O(1) for every partial function f : [M ]N → {0, 1, ∗} that is permutation-invariant. Let us make two remarks about Conjecture 3. First, the conjecture talks about randomized versus quantum query complexity, since in this setting, it is easy to find functions ...